Free Printable WorksheetMathGrade 7Math Curriculum7.85

7.85 Inequalities with negative multipliers Worksheet

Download our free printable Grade 7 Math worksheet on 7.85 Inequalities with negative multipliers. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.85 Inequalities with negative multipliers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.85 Inequalities with negative multipliers - In multiple-choice items, students choose whether an inequality sign should reverse in a given step and select the correct final inequality. (CCSS 7.EE.B.4b; VA 7.PFA.4.b)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.85 Inequalities with negative multipliers skill assessments:

Problem 1Difficulty: Mastery

A complex model is simplified to the inequality Ivy works with: -2(3x + 2) - 11 ≥ 4x - 65. After distributing and moving all x-terms to the left, the result is -10x ≥ -50. Which final inequality is correct?

Ax ≥ -5

Bx ≤ -5

Cx ≥ 5

Dx ≤ 5

Solution & Explanation:Distribute: -2(3x + 2) gives -6x - 4. Combine with -11 to get -6x - 15. Subtract 4x to get -10x - 15 ≥ -65. Subtract -15: -10x ≥ -50. Divide by -10 (negative), so the sign reverses: x ≤ 5.

Problem 2Difficulty: Mastery

A student makes a sign mistake risk in the step Kai starts with: -(9x + 3) ≤ -12. They multiply both sides by -1 to remove the leading negative. Which final inequality is correct after solving for x?

Ax ≥ -1

Bx ≤ -1

Cx ≥ 1

Dx ≤ 1

Solution & Explanation:Multiplying both sides by -1 reverses the inequality: 9x + 3 ≥ 12. Then subtract 3 and divide by 9 to get x ≥ 1.

Problem 3Difficulty: Mastery

A student makes a sign mistake risk in the step Zoe starts with: -(7x + 13) ≥ 1. They multiply both sides by -1 to remove the leading negative. Which final inequality is correct after solving for x?

Ax ≥ -2

Bx ≤ -2

Cx ≥ 2

Dx ≤ 2

Solution & Explanation:Multiplying both sides by -1 reverses the inequality: 7x + 13 ≤ -1. Then subtract 13 and divide by 7 to get x ≤ -2.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 7.85 Inequalities with negative multipliers worksheet?

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QIs this 7.85 Inequalities with negative multipliers worksheet free for teachers and homeschoolers?

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QCan students practice 7.85 Inequalities with negative multipliers online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.85 Inequalities with negative multipliers interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.85 (Practice and review Grade 7 math skill 7.85: Inequalities with Negative Multipliers.).